What is the sum of interior angles in a hexagon?

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Answer 1 · 2016-06-10T21:27:08

#120^0#

Hexagon is 6 sided. Think it as 6 triangles. so at the centre we have each triangles vertex being: #360/6 = 60^0#

The sum of internal angles in a triangle is #180^0# which means that the other two angles sum to #180-60 = 120^0#

We have 6 of these #120^0# so the sum of the interior angles is

#6xx120= 720^0#

Answer 2 · 2016-06-11T17:14:06

#720^@# i.e. #4pi# radians

No matter how irregular the hexagon, it can always be dissected into #4# triangles.

For example:

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Each of the #4# triangles has interior angles summing to #180^@# - i.e. #pi# radians.

The interior angles of the hexagon are the sum of the interior angles of the constituent triangles, so sum to:

#4 * 180^@ = 720^@# or #4pi# radians.